Cremona's table of elliptic curves

41209 = 7² · 29²

Class	r	Atkin-Lehner	Eigenvalues
41209a (2 curves)	1	7+ 29+	0  2 -3 7+ -6 -1  0 -2
Curve Equation t Generators 41209a1 [0,-1,1,-384617,90676207] 1 [8535:20591:27] 41209a2 [0,-1,1,-3269247,-2231162480] 1 [-26700:156833:27]
41209b (1 curve)	1	7+ 29+	-2 -2  1 7+ -4 -5 -8 -8
Curve Equation t Generators 41209b1 [0,1,1,-673080,211777248] 1 [-474:20604:1]
41209c (2 curves)	0	7- 29+	0 -2  3 7- -6  1  0  2
Curve Equation t 41209c1 [0,1,1,-7849,-266605] 1 41209c2 [0,1,1,-66719,6485784] 1
41209d (1 curve)	0	7- 29+	1 -1 -1 7-  5  5 -4 -4
Curve Equation t 41209d1 [1,1,0,-858,15171661] 1
41209e (4 curves)	0	7- 29+	-1  0  0 7- -4  0  0  0
Curve Equation t 41209e1 [1,-1,1,-1840,-36886] 2 41209e2 [1,-1,1,-31275,-2120884] 2 41209e3 [1,-1,1,-90145,12832096] 2 41209e4 [1,-1,1,-1532460,730528040] 2
41209f (2 curves)	0	7- 29+	-1  2 -2 7-  4  2  4  2
Curve Equation t 41209f1 [1,1,1,-392344,-99667520] 2 41209f2 [1,1,1,-6367649,-6187308254] 2
41209g (1 curve)	0	7- 29+	2  1 -2 7-  0 -2 -6 -5
Curve Equation t 41209g1 [0,1,1,-96154,-41781729] 1
41209h (1 curve)	0	7- 29+	2 -1  2 7-  0  2  6  5
Curve Equation t 41209h1 [0,-1,1,-1962,122373] 1
41209i (2 curves)	0	7- 29+	2 -1  4 7- -2 -4 -2  5
Curve Equation t 41209i1 [0,-1,1,810444,9412059] 1 41209i2 [0,-1,1,-88613086,321132192919] 1
41209j (1 curve)	0	7- 29+	-2  2 -1 7- -4  5  8  8
Curve Equation t 41209j1 [0,-1,1,-13736,-613502] 1

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

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